Sindbad~EG File Manager

Length of proof is 108.  Level of proof is 21.

---------------- PROOF ----------------

6 [] -E(x,y,x1,y1)| -E(y,z,y1,z1)| -E(x,v,x1,v1)| -E(y,v,y1,v1)| -T(x,y,z)| -T(x1,y1,z1)|x=y|E(z,v,z1,v1).
13 [] E(xa,xb,xa,xb).
14 [] -E(xa,xb,xc,xd)|E(xc,xd,xa,xb).
22 [] -E(xa,xb,xc,xd)|E(xb,xa,xd,xc).
24 [] T(xa,xb,xb).
25 [] -T(xa,xb,xc)|T(xc,xb,xa).
26 [] T(xa1,xa1,xb1).
28 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xb,xc).
29 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xb,xc,xd).
31 [] -T(xa,xb,xd)| -T(xb,xc,xd)|T(xa,xc,xd).
32 [] -T(xa,xb,xc)| -T(xa,xc,xd)|T(xa,xb,xd).
33 [] -T(xa,xb,xc)| -T(xb,xc,xd)|xb=xc|T(xa,xb,xd).
39 [] -T(xa,xb,xc)| -T(xa1,xb1,xc)| -T(xa,xp,xa1)|T(xp,crossbar(xa,xb,xc,xa1,xb1,xp),xc).
40 [] -T(xa,xb,xc)| -T(xa1,xb1,xc)| -T(xa,xp,xa1)|T(xb,crossbar(xa,xb,xc,xa1,xb1,xp),xb1).
55 [] xa=xb| -Col(xa,xb,xc)| -E(xa,xp,xa,xq)| -E(xb,xp,xb,xq)|E(xc,xp,xc,xq).
65 [] -le(xa,xb,xc,xd)| -E(xa,xb,xa1,xb1)| -E(xc,xd,xc1,xd1)|le(xa1,xb1,xc1,xd1).
82 [] sameside(xa,xp,xb)|xa=xp|xb=xp|xc=xp| -T(xa,xp,xc)| -T(xb,xp,xc).
84 [] -sameside(xa,xp,xb)| -T(xa,xp,xb).
92 [] -sameside(xa,xp,xb)| -le(xp,xa,xp,xb)|T(xp,xa,xb).
94 [] xp=xq|xp=xr| -T(xq,xp,xr)| -Col(xa,xp,xq)|xa=xp|sameside(xa,xp,xq)|sameside(xa,xp,xr).
100 [] xp=xq|Col(xp,xq,xp).
101 [] xp=xq| -Col(xp,xq,xr)|Col(xq,xp,xr).
102 [] xa=xb|xp=xq| -Col(xp,xq,xa)| -Col(xp,xq,xb)| -Col(xp,xq,xr)|Col(xa,xb,xr).
103 [] xa=xb|xp=xq| -Col(xa,xb,xc)| -Col(xp,xq,xc)| -Col(xa,xb,xd)| -Col(xp,xq,xd)|xc=xd| -Col(xa,xb,xe)|Col(xp,xq,xe).
105 [] -M(xa,xm,xb)|M(xb,xm,xa).
107 [] M(xa,xm,xa)|xm!=xa.
108 [] M(xp,xa,s(xa,xp)).
109 [] -M(xp,xa,xr)| -M(xp,xa,xq)|xr=xq.
110 [] -M(xp,xa,xq)|xq=s(xa,xp).
113 [] s(xa,xp)!=s(xa,xq)|xp=xq.
114 [] s(xa,xp)!=xp|xp=xa.
115 [] s(xa,xp)=xp|xp!=xa.
116 [] E(xp,xq,s(xa,xp),s(xa,xq)).
117 [] -T(xp,xq,xr)|T(s(xa,xp),s(xa,xq),s(xa,xr)).
121 [] -M(xp,xa,xq)| -M(xp,xb,xq)|xa=xb.
146 [] Col(xa,xb,xc)| -T(xa,xb,xc).
147 [] Col(xa,xb,xc)| -T(xb,xc,xa).
162 [] -M(xa,xm,xb)|T(xa,xm,xb).
163 [] -M(xa,xm,xb)|E(xm,xa,xm,xb).
164 [] -T(xa,xm,xb)| -E(xm,xa,xm,xb)|M(xa,xm,xb).
165 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|T(xa1,xc,xa2).
166 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|T(xb1,xc,xb2).
167 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|E(xc,xa1,xc,xb1).
168 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|E(xc,xa2,xc,xb2).
169 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|M(xa1,xm1,xb1).
170 [] -KF(xa1,xm1,xb1,xc,xb2,xm2,xa2)|M(xa2,xm2,xb2).
173 [] KF(a1,m1,b1,c,b2,m2,a2).
174 [] -T(m1,c,m2).
175 [] le(c,a1,c,a2).
176 [] a=s(c,a2).
177 [] b=s(c,b2).
178 [] m=s(c,m2).
180 [] s(c,a2)=a.
181 [] s(c,b2)=b.
182 [] s(c,m2)=m.
183 [] crossbar(a,a1,c,b,b1,m)=q.
190 [binary,173.1,170.1] M(a2,m2,b2).
191 [binary,173.1,169.1] M(a1,m1,b1).
192 [binary,173.1,168.1] E(c,a2,c,b2).
193 [binary,173.1,167.1] E(c,a1,c,b1).
194 [binary,173.1,166.1] T(b1,c,b2).
195 [binary,173.1,165.1] T(a1,c,a2).
217 [binary,174.1,29.3] -T(x,m1,c)| -T(x,c,m2).
225 [ur,33,24,26,174] c=c.
226 [ur,32,26,174] -T(m1,c,m1).
229 [ur,31,24,174] -T(m2,c,m2).
234 [ur,28,24,174] -T(c,m2,c).
252 [hyper,65,175,13,116] le(c,a1,s(x,c),s(x,a2)).
262 [para_into,176.1.2,115.1.1] a=a2|a2!=c.
263 [para_into,176.1.2,110.2.2] a=x| -M(a2,c,x).
280 [para_from,176.1.2,117.2.1] -T(a2,x,y)|T(a,s(c,x),s(c,y)).
291 [para_from,176.1.2,108.1.3] M(a2,c,a).
297 [para_into,177.1.2,115.1.1] b=b2|b2!=c.
318 [para_from,177.1.2,113.1.2] s(c,x)!=b|x=b2.
326 [para_from,177.1.2,108.1.3] M(b2,c,b).
361 [para_from,178.1.2,108.1.3] M(m2,c,m).
371 [binary,225.1,115.2] s(c,c)=c.
372 [binary,225.1,107.2] M(c,c,c).
373 [binary,190.1,163.1] E(m2,a2,m2,b2).
374 [binary,190.1,162.1] T(a2,m2,b2).
380 [binary,190.1,105.1] M(b2,m2,a2).
397 [binary,191.1,121.1] -M(a1,x,b1)|m1=x.
401 [binary,191.1,105.1] M(b1,m1,a1).
453 [binary,194.1,25.1] T(b2,c,b1).
558 [binary,195.1,146.2] Col(a1,c,a2).
564 [binary,195.1,84.2] -sameside(a1,c,a2).
590 [binary,195.1,25.1] T(a2,c,a1).
704 [binary,192.1,22.1] E(a2,c,b2,c).
710 [binary,192.1,14.1] E(c,b2,c,a2).
801 [binary,226.1,162.2] -M(m1,c,m1).
827 [binary,229.1,162.2] -M(m2,c,m2).
872 [binary,193.1,14.1] E(c,b1,c,a1).
900 [hyper,65,175,193,192] le(c,b1,c,b2).
945 [binary,234.1,162.2] -M(c,m2,c).
971 [binary,291.1,162.1] T(a2,c,a).
974 [binary,291.1,105.1] M(a,c,a2).
988 [binary,326.1,163.1] E(c,b2,c,b).
989 [binary,326.1,162.1] T(b2,c,b).
1039 [binary,361.1,162.1] T(m2,c,m).
1042 [binary,361.1,105.1] M(m,c,m2).
2141 [binary,801.1,107.1] c!=m1.
2179 [ur,121,401,2141] -M(b1,c,a1).
2221 [binary,827.1,107.1] c!=m2.
2281 [binary,2221.1,100.1] Col(c,m2,c).
2305 [ur,121,380,2221] -M(b2,c,a2).
2306 [ur,121,190,2221] -M(a2,c,b2).
2427 [binary,945.1,107.1] m2!=c.
2467 [binary,2427.1,114.2,demod,182] m!=m2.
2551 [binary,2467.1,100.1] Col(m,m2,m).
2672 [binary,971.1,25.1] T(a,c,a2).
2878 [binary,989.1,25.1] T(b,c,b2).
3015 [binary,1039.1,147.2] Col(m,m2,c).
3016 [binary,1039.1,146.2] Col(m2,c,m).
3049 [binary,1039.1,25.1] T(m,c,m2).
3170 [ur,109,1042,2467] -M(m,c,m).
4179 [binary,2179.1,164.3,unit_del,872] -T(b1,c,a1).
4239 [binary,2281.1,101.2,unit_del,2221] Col(m2,c,c).
4264 [binary,2305.1,164.3,unit_del,710] -T(b2,c,a2).
4274 [binary,2306.1,164.3,unit_del,192] -T(a2,c,b2).
5535 [binary,3049.1,217.2] -T(m,m1,c).
5835 [binary,3170.1,107.1] c!=m.
5852 [binary,5835.1,100.1] Col(c,m,c).
5882 [ur,121,372,5835] -M(c,m,c).
5888 [ur,102,5835,2467,3015,2551,2551] Col(c,m,m).
6246 [ur,29,26,4179] -T(c,b1,c).
6252 [ur,28,24,4179] -T(c,a1,c).
6434 [ur,31,24,4264] -T(a2,c,a2).
6495 [ur,31,2878,4274] -T(a2,b,b2).
7316 [para_from,262.1.1,2672.1.1,unit_del,6434] a2!=c.
7325 [binary,7316.1,114.2,demod,180] a!=a2.
7496 [ur,109,974,7325] -M(a,c,a).
7578 [binary,5882.1,107.1] m!=c.
7589 [binary,263.2,107.1,unit_del,7325] c!=a2.
9062 [binary,6246.1,162.2] -M(c,b1,c).
9185 [binary,6252.1,162.2] -M(c,a1,c).
11549 [binary,280.1,374.1,demod,182,181] T(a,m,b).
12747 [binary,7496.1,107.1] c!=a.
14655 [para_from,297.1.1,6495.1.2,unit_del,24] b2!=c.
14666 [binary,14655.1,114.2,demod,181] b!=b2.
16992 [binary,9062.1,107.1] b1!=c.
17244 [binary,9185.1,107.1] a1!=c.
17303 [ur,94,7589,12747,971,558,17244,564] sameside(a1,c,a).
20409 [binary,318.1,115.1,unit_del,14666] b!=c.
20753 [ur,82,16992,20409,14655,194,2878] sameside(b1,c,b).
32341 [para_from,371.1.1,252.1.3,demod,180] le(c,a1,c,a).
33157 [binary,373.1,22.1] E(a2,m2,b2,m2).
38137 [binary,17303.1,92.1,unit_del,32341] T(c,a1,a).
58052 [binary,38137.1,25.1] T(a,a1,c).
84355 [hyper,65,900,13,988] le(c,b1,c,b).
206611 [hyper,6,704,193,33157,13,590,453,unit_del,7316] E(a1,m2,b1,m2).
439762 [binary,84355.1,92.2,unit_del,20753] T(c,b1,b).
439852 [binary,439762.1,25.1] T(b,b1,c).
440997 [hyper,40,58052,439852,11549,demod,183] T(a1,q,b1).
441275 [hyper,39,58052,439852,11549,demod,183] T(m,q,c).
443874 [binary,441275.1,147.2] Col(c,m,q).
444670 [ur,32,441275,5535] -T(m,m1,q).
449233 [hyper,103,5888,3016,5852,4239,443874,unit_del,5835,2427,7578] Col(m2,c,q).
452353 [ur,31,24,444670] -T(q,m1,q).
464524 [binary,452353.1,162.2] -M(q,m1,q).
486665 [binary,464524.1,107.1] m1!=q.
486708 [binary,486665.1,397.2] -M(a1,q,b1).
495072 [binary,486708.1,164.3,unit_del,440997] -E(q,a1,q,b1).
787000 [binary,206611.1,22.1] E(m2,a1,m2,b1).
1127985 [ur,55,2427,449233,193,495072] -E(m2,a1,m2,b1).
1127986 [binary,1127985.1,787000.1] $F.